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144000044672 = 2711317322627
BaseRepresentation
bin1000011000011100010…
…0100100111010000000
3111202200121111012110212
42012013010210322000
54324403002412142
6150052552413252
713255312120061
oct2060704447200
9452617435425
10144000044672
11560852a8990
1223aa93a7228
131076b4cab33
146d80994568
153b2bea4d82
hex2187124e80

144000044672 has 64 divisors (see below), whose sum is σ = 313942854240. Its totient is φ = 65247882240.

The previous prime is 144000044659. The next prime is 144000044677. The reversal of 144000044672 is 276440000441.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (144000044677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285023 + ... + 607649.

Almost surely, 2144000044672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144000044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156971427120).

144000044672 is an abundant number, since it is smaller than the sum of its proper divisors (169942809568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144000044672 is a wasteful number, since it uses less digits than its factorization.

144000044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322969 (or 322957 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The spelling of 144000044672 in words is "one hundred forty-four billion, forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 317 352 634 704 1268 1408 2536 3487 5072 6974 10144 13948 20288 27896 40576 55792 111584 223168 322627 446336 645254 1290508 2581016 3548897 5162032 7097794 10324064 14195588 20648128 28391176 41296256 56782352 102272759 113564704 204545518 227129408 409091036 454258816 818182072 1125000349 1636364144 2250000698 3272728288 4500001396 6545456576 9000002792 13090913152 18000005584 36000011168 72000022336 144000044672